diff mbox

[8/9] Negative numbers added for sreal class.

Message ID 54775A83.5050107@suse.cz
State New
Headers show

Commit Message

Martin Liška Nov. 27, 2014, 5:08 p.m. UTC
On 11/21/2014 04:21 PM, Martin Liška wrote:
> On 11/21/2014 04:02 PM, Richard Biener wrote:
>> On Fri, Nov 21, 2014 at 3:39 PM, Martin Liška <mliska@suse.cz> wrote:
>>
>>> Hello.
>>>
>>> Ok, this is simplified, one can use sreal a = 12345 and it works ;)
>>>
>>>> that's a  new API, right?  There is no max () and I think that using
>>>> LONG_MIN here is asking for trouble (host dependence).  The
>>>> comment in the file says the max should be
>>>> sreal (SREAL_MAX_SIG, SREAL_MAX_EXP) and the min
>>>> sreal (-SREAL_MAX_SIG, SREAL_MAX_EXP)?
>>>>
>>>
>>> Sure, sreal can store much bigger(smaller) numbers :)
>>>
>>>> Where do you need sreal::to_double?  The host shouldn't perform
>>>> double calculations so it can be only for dumping?  In which case
>>>> the user should have used sreal::dump (), maybe with extra
>>>> arguments.
>>>>
>>>
>>> That new function was request from Honza, only for debugging purpose.
>>> I agree that dump should this kind of job.
>>>
>>> If no other problem, I will run tests once more and commit it.
>>> Thanks,
>>> Martin
>>
>> -#define SREAL_MAX_EXP (INT_MAX / 4)
>> +#define SREAL_MAX_EXP (INT_MAX / 8)
>>
>> this change doesn't look necessary anymore?
>>
>> Btw, it's also odd that...
>>
>>   #define SREAL_PART_BITS 32
>> ...
>>   #define SREAL_MIN_SIG ((uint64_t) 1 << (SREAL_PART_BITS - 1))
>>   #define SREAL_MAX_SIG (((uint64_t) 1 << SREAL_PART_BITS) - 1)
>>
>> thus all m_sig values fit in 32bits but we still use a uint64_t m_sig ...
>> (the implementation uses 64bit for internal computations, but still
>> the storage is wasteful?)
>>
>> Of course the way normalize() works requires that storage to be
>> 64bits to store unnormalized values.
>>
>> I'd say ok with the SREAL_MAX_EXP change reverted.
>>
>
> Hi.
>
> You are right, this change was done because I used one bit for m_negative (bitfield), not needed any more.
>
> Final version attached.
>
> Thank you,
> Martin
>
>> Thanks,
>> Richard.
>>
>>
>>>
>>>> Otherwise looks good to me and sorry for not noticing the above
>>>> earlier.
>>>>
>>>> Thanks,
>>>> Richard.
>>>>
>>>>> Thanks,
>>>>> Martin
>>>>>
>>>>>
>>>>>>>     };
>>>>>>>
>>>>>>>     extern void debug (sreal &ref);
>>>>>>> @@ -76,12 +133,12 @@ inline sreal &operator+= (sreal &a, const sreal
>>>>>>> &b)
>>>>>>>
>>>>>>>     inline sreal &operator-= (sreal &a, const sreal &b)
>>>>>>>     {
>>>>>>> -return a = a - b;
>>>>>>> +  return a = a - b;
>>>>>>>     }
>>>>>>>
>>>>>>>     inline sreal &operator/= (sreal &a, const sreal &b)
>>>>>>>     {
>>>>>>> -return a = a / b;
>>>>>>> +  return a = a / b;
>>>>>>>     }
>>>>>>>
>>>>>>>     inline sreal &operator*= (sreal &a, const sreal &b)
>>>>>>> --
>>>>>>> 2.1.2
>>>>>>>
>>>>>>>
>>>>>
>>>
>

Hello.

After IRC discussions, I decided to give sreal another refactoring where I
use int64_t for m_sig.

This approach looks much easier and straightforward. I would like to
ask folk for comments?

I am able to run profiled bootstrap on x86_64-linux-pc and ppc64-linux-pc
and new regression is introduced.

Thanks,
Martin

Comments

Richard Biener Nov. 28, 2014, 9:32 a.m. UTC | #1
On Thu, Nov 27, 2014 at 6:08 PM, Martin Liška <mliska@suse.cz> wrote:
> On 11/21/2014 04:21 PM, Martin Liška wrote:
>>
>> On 11/21/2014 04:02 PM, Richard Biener wrote:
>>>
>>> On Fri, Nov 21, 2014 at 3:39 PM, Martin Liška <mliska@suse.cz> wrote:
>>>
>>>> Hello.
>>>>
>>>> Ok, this is simplified, one can use sreal a = 12345 and it works ;)
>>>>
>>>>> that's a  new API, right?  There is no max () and I think that using
>>>>> LONG_MIN here is asking for trouble (host dependence).  The
>>>>> comment in the file says the max should be
>>>>> sreal (SREAL_MAX_SIG, SREAL_MAX_EXP) and the min
>>>>> sreal (-SREAL_MAX_SIG, SREAL_MAX_EXP)?
>>>>>
>>>>
>>>> Sure, sreal can store much bigger(smaller) numbers :)
>>>>
>>>>> Where do you need sreal::to_double?  The host shouldn't perform
>>>>> double calculations so it can be only for dumping?  In which case
>>>>> the user should have used sreal::dump (), maybe with extra
>>>>> arguments.
>>>>>
>>>>
>>>> That new function was request from Honza, only for debugging purpose.
>>>> I agree that dump should this kind of job.
>>>>
>>>> If no other problem, I will run tests once more and commit it.
>>>> Thanks,
>>>> Martin
>>>
>>>
>>> -#define SREAL_MAX_EXP (INT_MAX / 4)
>>> +#define SREAL_MAX_EXP (INT_MAX / 8)
>>>
>>> this change doesn't look necessary anymore?
>>>
>>> Btw, it's also odd that...
>>>
>>>   #define SREAL_PART_BITS 32
>>> ...
>>>   #define SREAL_MIN_SIG ((uint64_t) 1 << (SREAL_PART_BITS - 1))
>>>   #define SREAL_MAX_SIG (((uint64_t) 1 << SREAL_PART_BITS) - 1)
>>>
>>> thus all m_sig values fit in 32bits but we still use a uint64_t m_sig ...
>>> (the implementation uses 64bit for internal computations, but still
>>> the storage is wasteful?)
>>>
>>> Of course the way normalize() works requires that storage to be
>>> 64bits to store unnormalized values.
>>>
>>> I'd say ok with the SREAL_MAX_EXP change reverted.
>>>
>>
>> Hi.
>>
>> You are right, this change was done because I used one bit for m_negative
>> (bitfield), not needed any more.
>>
>> Final version attached.
>>
>> Thank you,
>> Martin
>>
>>> Thanks,
>>> Richard.
>>>
>>>
>>>>
>>>>> Otherwise looks good to me and sorry for not noticing the above
>>>>> earlier.
>>>>>
>>>>> Thanks,
>>>>> Richard.
>>>>>
>>>>>> Thanks,
>>>>>> Martin
>>>>>>
>>>>>>
>>>>>>>>     };
>>>>>>>>
>>>>>>>>     extern void debug (sreal &ref);
>>>>>>>> @@ -76,12 +133,12 @@ inline sreal &operator+= (sreal &a, const sreal
>>>>>>>> &b)
>>>>>>>>
>>>>>>>>     inline sreal &operator-= (sreal &a, const sreal &b)
>>>>>>>>     {
>>>>>>>> -return a = a - b;
>>>>>>>> +  return a = a - b;
>>>>>>>>     }
>>>>>>>>
>>>>>>>>     inline sreal &operator/= (sreal &a, const sreal &b)
>>>>>>>>     {
>>>>>>>> -return a = a / b;
>>>>>>>> +  return a = a / b;
>>>>>>>>     }
>>>>>>>>
>>>>>>>>     inline sreal &operator*= (sreal &a, const sreal &b)
>>>>>>>> --
>>>>>>>> 2.1.2
>>>>>>>>
>>>>>>>>
>>>>>>
>>>>
>>
>
> Hello.
>
> After IRC discussions, I decided to give sreal another refactoring where I
> use int64_t for m_sig.
>
> This approach looks much easier and straightforward. I would like to
> ask folk for comments?

I think you want to exclude LONG_MIN (how do you know that LONG_MIN
is min(int64_t)?) as a valid value for m_sig - after all SREAL_MIN_SIG
makes it symmetric.  Or simply use abs_hwi at

+  int64_t s = m_sig < 0 ? -1 : 1;
+  uint64_t sig = m_sig == LONG_MIN ? LONG_MAX : std::abs (m_sig);

-#define SREAL_MIN_SIG ((uint64_t) 1 << (SREAL_PART_BITS - 1))
-#define SREAL_MAX_SIG (((uint64_t) 1 << SREAL_PART_BITS) - 1)
+#define SREAL_MIN_SIG ((uint64_t) 1 << (SREAL_PART_BITS - 2))
+#define SREAL_MAX_SIG (((uint64_t) 1 << (SREAL_PART_BITS - 1)) - 1)

shouldn't this also be -2 in the last line?

That is, you effectively use the MSB as a sign bit?

Btw, a further change would be to make m_sig 'signed int', matching
the "real" storage requirements according to SREAL_PART_BITS.
This would of course still require temporaries used for computation
to be 64bits and it would require normalization to work on the
temporaries.  But then we'd get down to 8 bytes storage ...

Richard.


> I am able to run profiled bootstrap on x86_64-linux-pc and ppc64-linux-pc
> and new regression is introduced.
>
> Thanks,
> Martin
>
>
diff mbox

Patch

From bff0b4b803271788cd90cfd4032ed6d4e6e95707 Mon Sep 17 00:00:00 2001
From: mliska <mliska@suse.cz>
Date: Wed, 26 Nov 2014 15:46:42 +0100
Subject: [PATCH] New sreal implementation which uses int64_t as m_sig.

gcc/ChangeLog:

2014-11-27  Martin Liska  <mliska@suse.cz>

	* sreal.c (sreal::shift_right): New implementation
	for int64_t as m_sig.
	(sreal::normalize): Likewise.
	(sreal::to_int): Likewise.
	(sreal::operator+): Likewise.
	(sreal::operator-): Likewise.
	(sreal::operator*): Likewise.
	(sreal::operator/): Likewise.
	(sreal::signedless_minus): Removed.
	(sreal::signedless_plus): Removed.
	* sreal.h (sreal::operator<): New implementation
	for int64_t as m_sig.
---
 gcc/sreal.c | 129 +++++++++++++++++++-----------------------------------------
 gcc/sreal.h |  52 ++++++++++--------------
 2 files changed, 61 insertions(+), 120 deletions(-)

diff --git a/gcc/sreal.c b/gcc/sreal.c
index 2b5e3ae..304feb0 100644
--- a/gcc/sreal.c
+++ b/gcc/sreal.c
@@ -91,7 +91,7 @@  sreal::shift_right (int s)
 
   m_exp += s;
 
-  m_sig += (uint64_t) 1 << (s - 1);
+  m_sig += (int64_t) 1 << (s - 1);
   m_sig >>= s;
 }
 
@@ -100,43 +100,46 @@  sreal::shift_right (int s)
 void
 sreal::normalize ()
 {
+  int64_t s = m_sig < 0 ? -1 : 1;
+  uint64_t sig = m_sig == LONG_MIN ? LONG_MAX : std::abs (m_sig);
+
   if (m_sig == 0)
     {
-      m_negative = 0;
       m_exp = -SREAL_MAX_EXP;
     }
-  else if (m_sig < SREAL_MIN_SIG)
+  else if (sig < SREAL_MIN_SIG)
     {
       do
 	{
-	  m_sig <<= 1;
+	  sig <<= 1;
 	  m_exp--;
+	  gcc_checking_assert (sig);
 	}
-      while (m_sig < SREAL_MIN_SIG);
+      while (sig < SREAL_MIN_SIG);
 
       /* Check underflow.  */
       if (m_exp < -SREAL_MAX_EXP)
 	{
 	  m_exp = -SREAL_MAX_EXP;
-	  m_sig = 0;
+	  sig = 0;
 	}
     }
-  else if (m_sig > SREAL_MAX_SIG)
+  else if (sig > SREAL_MAX_SIG)
     {
       int last_bit;
       do
 	{
-	  last_bit = m_sig & 1;
-	  m_sig >>= 1;
+	  last_bit = sig & 1;
+	  sig >>= 1;
 	  m_exp++;
 	}
-      while (m_sig > SREAL_MAX_SIG);
+      while (sig > SREAL_MAX_SIG);
 
       /* Round the number.  */
-      m_sig += last_bit;
-      if (m_sig > SREAL_MAX_SIG)
+      sig += last_bit;
+      if (sig > SREAL_MAX_SIG)
 	{
-	  m_sig >>= 1;
+	  sig >>= 1;
 	  m_exp++;
 	}
 
@@ -144,9 +147,11 @@  sreal::normalize ()
       if (m_exp > SREAL_MAX_EXP)
 	{
 	  m_exp = SREAL_MAX_EXP;
-	  m_sig = SREAL_MAX_SIG;
+	  sig = SREAL_MAX_SIG;
 	}
     }
+
+  m_sig = s * sig;
 }
 
 /* Return integer value of *this.  */
@@ -154,17 +159,17 @@  sreal::normalize ()
 int64_t
 sreal::to_int () const
 {
-  int64_t sign = m_negative ? -1 : 1;
+  int64_t sign = m_sig < 0 ? -1 : 1;
 
   if (m_exp <= -SREAL_BITS)
     return 0;
   if (m_exp >= SREAL_PART_BITS)
     return sign * INTTYPE_MAXIMUM (int64_t);
   if (m_exp > 0)
-    return sign * (m_sig << m_exp);
+    return m_sig << m_exp;
   if (m_exp < 0)
-    return sign * (m_sig >> -m_exp);
-  return sign * m_sig;
+    return m_sig >> -m_exp;
+  return m_sig;
 }
 
 /* Return *this + other.  */
@@ -172,36 +177,10 @@  sreal::to_int () const
 sreal
 sreal::operator+ (const sreal &other) const
 {
-  const sreal *a_p = this, *b_p = &other;
-
-  if (a_p->m_negative && !b_p->m_negative)
-    std::swap (a_p, b_p);
-
-  /* a + -b => a - b.  */
-  if (!a_p->m_negative && b_p->m_negative)
-    {
-      sreal tmp = -(*b_p);
-      if (*a_p < tmp)
-	return signedless_minus (tmp, *a_p, true);
-      else
-	return signedless_minus (*a_p, tmp, false);
-    }
-
-  gcc_checking_assert (a_p->m_negative == b_p->m_negative);
-
-  sreal r = signedless_plus (*a_p, *b_p, a_p->m_negative);
-
-  return r;
-}
-
-sreal
-sreal::signedless_plus (const sreal &a, const sreal &b, bool negative)
-{
-  const sreal *bb;
-  sreal r, tmp;
   int dexp;
-  const sreal *a_p = &a;
-  const sreal *b_p = &b;
+  sreal tmp, r;
+
+  const sreal *a_p = this, *b_p = &other, *bb;
 
   if (a_p->m_exp < b_p->m_exp)
     std::swap (a_p, b_p);
@@ -211,7 +190,6 @@  sreal::signedless_plus (const sreal &a, const sreal &b, bool negative)
   if (dexp > SREAL_BITS)
     {
       r.m_sig = a_p->m_sig;
-      r.m_negative = negative;
       return r;
     }
 
@@ -226,56 +204,32 @@  sreal::signedless_plus (const sreal &a, const sreal &b, bool negative)
 
   r.m_sig = a_p->m_sig + bb->m_sig;
   r.normalize ();
-
-  r.m_negative = negative;
   return r;
 }
 
+
 /* Return *this - other.  */
 
 sreal
 sreal::operator- (const sreal &other) const
 {
-  /* -a - b => -a + (-b).  */
-  if (m_negative && !other.m_negative)
-    return signedless_plus (*this, -other, true);
-
-  /* a - (-b) => a + b.  */
-  if (!m_negative && other.m_negative)
-    return signedless_plus (*this, -other, false);
-
-  gcc_checking_assert (m_negative == other.m_negative);
-
-  /* We want to substract a smaller number from bigger
-    for nonegative numbers.  */
-  if (!m_negative && *this < other)
-    return signedless_minus (other, *this, true);
-
-  /* Example: -2 - (-3) => 3 - 2 */
-  if (m_negative && *this > other)
-    return signedless_minus (-other, -(*this), false);
-
-  sreal r = signedless_minus (*this, other, m_negative);
-
-  return r;
-}
-
-sreal
-sreal::signedless_minus (const sreal &a, const sreal &b, bool negative)
-{
   int dexp;
   sreal tmp, r;
   const sreal *bb;
-  const sreal *a_p = &a;
-  const sreal *b_p = &b;
+  const sreal *a_p = this, *b_p = &other;
 
-  dexp = a_p->m_exp - b_p->m_exp;
+  int64_t sign = 1;
+  if (a_p->m_exp < b_p->m_exp)
+    {
+      sign = -1;
+      std::swap (a_p, b_p);
+    }
 
+  dexp = a_p->m_exp - b_p->m_exp;
   r.m_exp = a_p->m_exp;
   if (dexp > SREAL_BITS)
     {
-      r.m_sig = a_p->m_sig;
-      r.m_negative = negative;
+      r.m_sig = sign * a_p->m_sig;
       return r;
     }
   if (dexp == 0)
@@ -287,10 +241,8 @@  sreal::signedless_minus (const sreal &a, const sreal &b, bool negative)
       bb = &tmp;
     }
 
-  r.m_sig = a_p->m_sig - bb->m_sig;
+  r.m_sig = sign * (a_p->m_sig - bb->m_sig);
   r.normalize ();
-
-  r.m_negative = negative;
   return r;
 }
 
@@ -300,7 +252,10 @@  sreal
 sreal::operator* (const sreal &other) const
 {
   sreal r;
-  if (m_sig < SREAL_MIN_SIG || other.m_sig < SREAL_MIN_SIG)
+  uint64_t asig = (uint64_t)std::abs (m_sig);
+  uint64_t other_asig = (uint64_t)std::abs (other.m_sig);
+
+  if (asig < SREAL_MIN_SIG || other_asig < SREAL_MIN_SIG)
     {
       r.m_sig = 0;
       r.m_exp = -SREAL_MAX_EXP;
@@ -312,7 +267,6 @@  sreal::operator* (const sreal &other) const
       r.normalize ();
     }
 
-  r.m_negative = m_negative ^ other.m_negative;
   return r;
 }
 
@@ -325,7 +279,6 @@  sreal::operator/ (const sreal &other) const
   sreal r;
   r.m_sig = (m_sig << SREAL_PART_BITS) / other.m_sig;
   r.m_exp = m_exp - other.m_exp - SREAL_PART_BITS;
-  r.m_negative = m_negative ^ other.m_negative;
   r.normalize ();
   return r;
 }
diff --git a/gcc/sreal.h b/gcc/sreal.h
index 3938c6e..8b3c6de 100644
--- a/gcc/sreal.h
+++ b/gcc/sreal.h
@@ -25,8 +25,8 @@  along with GCC; see the file COPYING3.  If not see
 
 #define UINT64_BITS	64
 
-#define SREAL_MIN_SIG ((uint64_t) 1 << (SREAL_PART_BITS - 1))
-#define SREAL_MAX_SIG (((uint64_t) 1 << SREAL_PART_BITS) - 1)
+#define SREAL_MIN_SIG ((uint64_t) 1 << (SREAL_PART_BITS - 2))
+#define SREAL_MAX_SIG (((uint64_t) 1 << (SREAL_PART_BITS - 1)) - 1)
 #define SREAL_MAX_EXP (INT_MAX / 4)
 
 #define SREAL_BITS SREAL_PART_BITS
@@ -36,18 +36,11 @@  class sreal
 {
 public:
   /* Construct an uninitialized sreal.  */
-  sreal () : m_sig (-1), m_exp (-1), m_negative (0) {}
+  sreal () : m_sig (-1), m_exp (-1) {}
 
   /* Construct a sreal.  */
-  sreal (int64_t sig, int exp = 0) : m_exp (exp)
+  sreal (int64_t sig, int exp = 0) : m_sig (sig), m_exp (exp)
   {
-    m_negative = sig < 0;
-
-    if (sig < 0)
-      sig = -sig;
-
-    m_sig = (uint64_t) sig;
-
     normalize ();
   }
 
@@ -60,33 +53,30 @@  public:
 
   bool operator< (const sreal &other) const
   {
-    /* We negate result in case of negative numbers and
-       it would return true for equal negative numbers.  */
-    if (*this == other)
-      return false;
-
-    if (m_negative != other.m_negative)
-      return m_negative > other.m_negative;
-
-    bool r = m_exp < other.m_exp
-      || (m_exp == other.m_exp && m_sig < other.m_sig);
-
-    return m_negative ? !r : r;
+    if (m_exp == other.m_exp)
+      return m_sig < other.m_sig;
+    else
+    {
+      bool negative = m_sig < 0;
+      bool other_negative = other.m_sig < 0;
+
+      if (negative != other_negative)
+        return negative > other_negative;
+
+      bool r = m_exp < other.m_exp;
+      return negative ? !r : r;
+    }
   }
 
   bool operator== (const sreal &other) const
   {
-    return m_exp == other.m_exp && m_sig == other.m_sig
-		    && m_negative == other.m_negative;
+    return m_exp == other.m_exp && m_sig == other.m_sig;
   }
 
   sreal operator- () const
   {
-    if (m_sig == 0)
-      return *this;
-
     sreal tmp = *this;
-    tmp.m_negative = !tmp.m_negative;
+    tmp.m_sig *= -1;
 
     return tmp;
   }
@@ -125,13 +115,11 @@  public:
 private:
   void normalize ();
   void shift_right (int amount);
-
   static sreal signedless_plus (const sreal &a, const sreal &b, bool negative);
   static sreal signedless_minus (const sreal &a, const sreal &b, bool negative);
 
-  uint64_t m_sig;			/* Significant.  */
+  int64_t m_sig;			/* Significant.  */
   signed int m_exp;			/* Exponent.  */
-  bool m_negative;			/* Negative sign.  */
 };
 
 extern void debug (sreal &ref);
-- 
2.1.2